Advanced Functions - Ontario, Canada

In this online tutoring course we focus on applying the material learnt in an Advanced Functions or pre-calculus mathematics course at the grade 12 level, Ontario, Canada. e.g. In Ontario the material covered here can be found in the grade 12 MHF4U course. In this course we include the introduction of new functions, such as the absolute value function, piecewise functions, exponential function, logarithm functions; more on polynomial and rational functions and operations involving functions. This course is by no means a substitute for an actual course. The aim of the course is to help the student work through solved exercises, problems and eventually be able to perform on assignments, quizzes, tests and exams more confidently

Learning outcomes for each lesson

Each lesson will consist of a set of worksheets related to the topics within that lesson.
Each lesson is accompanied by a set of videos with worked examples related to some or all of the topics within that lesson.
Below an outline of the lessons and topics covered in this course.

Advanced Functions or pre calculus course is a requirement for many university programs that require mathematics in Canada. It is also a pre-requisite for grade 12 Calculus and Vectors, MCV4U, in Ontario. This course is also a good foundation for some of the more advanced material in preparation for calculus, e.g. exponential functions, logarithms functions, rational functions. You can find out more about the topics covered in the grade 12 Calculus and Vectors course.

Advanced Functions References:

Advanced Functions and Introductory Calculus 12, Addison – Wesley, Pearson Education Canada Inc., 2003
Advanced Functions and Introductory Calculus, Harcourt Mathematics 12, 2002
Advanced Functions & Introduction Calculus, Nelson 2002

More references for the high school math curriculum in Ontario, Canada can be found on our math resources page.

If you have any question, please contact us at raisemymarkscanada (at) gmail (dot) com

Course Content:

Functions (5 Topics)

Introduction to Polynomials (5 Topics)